Colouring and non-productivity of aleph_2-cc

Details Colouring and non-productivity of aleph_2-cc Colouring and non-productivity of aleph_2-cc

1996-09-15

arxiv.org/abs/math/9609218v1

Ann. Pure Appl. Logic 84 (1997), 153-174

Mathematics

Logic

Scientific paper

We prove that colouring of pairs from aleph_2 with strong properties exists. The easiest to state (and quite a well known problem) it solves: there are two topological spaces with cellularity aleph_1 whose product has cellularity aleph_2 ; equivalently we can speak on cellularity of Boolean algebras or on Boolean algebras satisfying the aleph_2-c.c. whose product fails the aleph_2-c.c. We also deal more with guessing of clubs.

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